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Finding the Fourth Proportional to 102,295.59, 153,338.82 and 69,019.03

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Solution

The fourth proportional to 102,295.59, 153,338.82 and 69,019.03 is: 103,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,295.59 : 153,338.82 = 69,019.03 : x
  2. Step 2: Convert to fraction form
    102,295.59/153,338.82 = 69,019.03/x
  3. Step 3: Cross multiply
    102,295.59x = 153,338.82 × 69,019.03
  4. Step 4: Simplify right side
    102,295.59x = 10,583,296,617.74
  5. Step 5: Solve for x
    x = 10,583,296,617.74/102,295.59
  6. Step 6: Final answer
    x = 103,457.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.